Step-by-step explanation:
5/8=20/p
p=32
.............
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
<span>Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2
This is the </span><span>statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.
There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.
1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability
So, (1/7)</span>² is the probability that both persons will have their birthdays on a Monday.
Answer: Yes, it is correct
Step-by-step explanation: Because of that, When you multiply 4.2 x 3 x 4 = 50.4
Answer:
Option B is the right choice.
Step-by-step explanation:
Given:
An are CE and an inscribed angle CBE.
Measure of inscribed angle CBE = 25 °
We have to find the measure of the arc CE.
Concept:
- An inscribed angle is an angle with its vertex on the circle.
- The measure of an inscribed angle is half the measure the intercepted arc.
- Measure of inscribed angle = 1/2 × measure of intercepted arc
.
To find the measure of arc CE.
⇒ 
⇒ 
⇒ 
⇒ 
Measure of intercepted arc CE = 50 degrees.
The measure of arc CE = 50° so, option B is the right choice.
